You can run server 2012 r2 with no problems.
I am running the same server on 2gb ram with two cores ( forgot how much ghz each core is ) and I don't have any problems. I have a lot of CPU and ram left.

Extended support for 2003 and 2003 rt finally ends in july of this year.
Main Stream Supported ended in January for 2008 and 2008 rt, Extended support ends in 2020
2012 and 2012 Rt will be on MainStream Support until Jan 2018, and Extended support ends in 2023.

Extended support for 2003 and 2003 rt finally ends in july of this year.
Main Stream Supported ended in January for 2008 and 2008 rt, Extended support ends in 2020
2012 and 2012 Rt will be on MainStream Support until Jan 2018, and Extended support ends in 2023.

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